Finding the Fourth Proportional to 1,420.50, 1,960.29 and 830.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,420.50 : 1,960.29 = 830.82 : x
2. Step 2: Convert to fraction form
   1,420.50/1,960.29 = 830.82/x
3. Step 3: Cross multiply
   1,420.50x = 1,960.29 × 830.82
4. Step 4: Simplify right side
   1,420.50x = 1,628,648.14
5. Step 5: Solve for x
   x = 1,628,648.14/1,420.50
6. Step 6: Final answer
   x = 1,146.53